The ratio is 14/5. 700/250 reduces to 14/5.
The axis of symmetry is the x value of the vertex
we have a handy-dandy way of finding that from standard form, ax^2+bx+c=y
for
ax^2+bx+c=y
the x value of the vertex is -b/2a
y=-2x^2+12x-3
-b/2a=-12/(2*-2)=-12/-4=3
x=3 is the axis of symmetry
Answer: b₂=2A/h-b₁
Step-by-step explanation:
A =1/2 (b₁ + b₂)h
2A=(b₁ + b₂)h
2A/h=b₁ + b₂
b₂=2A/h-b₁
<h3>
Answer: x = 14</h3>
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Explanation:
The same tickmarks on each side of the triangle tells us that all three sides are the same length. This triangle is equilateral.
All equilateral triangles have each of their three angles at 60 degrees (they are considered equiangular). This is because 60+60+60 = 180.
Set 2x+32 equal to 60 and solve for x
2x+32 = 60
2x = 60-32
2x = 28
x = 28/2
x = 14
As a check,
2x+32 = 2*14+32 = 28+32 = 60
which helps confirm the answer.
Divide both sides of the equation by -3, which gives you x=6.
